Pith Number

pith:QCSLI7XF

pith:2020:QCSLI7XFRNXZRPNDUXCGJVW5XX

not attested not anchored not stored refs pending

Debiased Sinkhorn barycenters

Alexandre Gramfort, Hicham Janati, Marco Cuturi

arxiv:2006.02575 v1 · 2020-06-03 · stat.ML · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCSLI7XFRNXZRPNDUXCGJVW5XX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T01:07:57.863875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a4b47ee58b6f98bda3a5c464d6ddbddde96d09c548fd2f1073a7d73b2a7e60

Aliases

arxiv: 2006.02575 · arxiv_version: 2006.02575v1 · doi: 10.48550/arxiv.2006.02575 · pith_short_12: QCSLI7XFRNXZ · pith_short_16: QCSLI7XFRNXZRPND · pith_short_8: QCSLI7XF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QCSLI7XFRNXZRPNDUXCGJVW5XX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 80a4b47ee58b6f98bda3a5c464d6ddbddde96d09c548fd2f1073a7d73b2a7e60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6373ef34804de580bda205e5eeaa7405b9c00023b814678119da213ef1a5d7c",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2020-06-03T23:06:02Z",
    "title_canon_sha256": "c8318e7ec57379e74428dd375ec2caf6c26f6f08af868d07d149fe191da02807"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.02575",
    "kind": "arxiv",
    "version": 1
  }
}